100856397741 has 16 divisors (see below), whose sum is σ = 149821498368. Its totient is φ = 59824554800.

The previous prime is 100856397689. The next prime is 100856397767. The reversal of 100856397741 is 147793658001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100856397741 - 2²⁶ = 100789288877 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100854397741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32511795 + ... + 32514896.

It is an arithmetic number, because the mean of its divisors is an integer number (9363843648).

Almost surely, 2^100856397741 is an apocalyptic number.

100856397741 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100856397741 is a deficient number, since it is larger than the sum of its proper divisors (48965100627).

100856397741 is a wasteful number, since it uses less digits than its factorization.

100856397741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65026752.

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 100856397741 in words is "one hundred billion, eight hundred fifty-six million, three hundred ninety-seven thousand, seven hundred forty-one".