100958400 has 420 divisors, whose sum is σ = 400156680. Its totient is φ = 24883200.

The previous prime is 100958387. The next prime is 100958401. The reversal of 100958400 is 4859001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100958401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2462380 + ... + 2462420.

It is an arithmetic number, because the mean of its divisors is an integer number (952754).

Almost surely, 2^100958400 is an apocalyptic number.

100958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200078340).

100958400 is an abundant number, since it is smaller than the sum of its proper divisors (299198280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100958400 is a wasteful number, since it uses less digits than its factorization.

100958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 100958400 is about 10047.8057306061. The cubic root of 100958400 is about 465.6370041798.

The spelling of 100958400 in words is "one hundred million, nine hundred fifty-eight thousand, four hundred".