100436770040442 has 64 divisors (see below), whose sum is σ = 219298891968000. Its totient is φ = 30412598921280.

The previous prime is 100436770040441. The next prime is 100436770040443. The reversal of 100436770040442 is 244040077634001.

It is an interprime number because it is at equal distance from previous prime (100436770040441) and next prime (100436770040443).

It is a junction number, because it is equal to n+sod(n) for n = 100436770040394 and 100436770040403.

It is not an unprimeable number, because it can be changed into a prime (100436770040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 476759409 + ... + 476970027.

It is an arithmetic number, because the mean of its divisors is an integer number (3426545187000).

Almost surely, 2^{100436770040442} is an apocalyptic number.

100436770040442 is an abundant number, since it is smaller than the sum of its proper divisors (118862121927558).

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

100436770040442 is a wasteful number, since it uses less digits than its factorization.

100436770040442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216011.

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 100436770040442 in words is "one hundred trillion, four hundred thirty-six billion, seven hundred seventy million, forty thousand, four hundred forty-two".