100777374440 has 32 divisors (see below), whose sum is σ = 229942748160. Its totient is φ = 39743188800.

The previous prime is 100777374437. The next prime is 100777374443. The reversal of 100777374440 is 44473777001.

It is an interprime number because it is at equal distance from previous prime (100777374437) and next prime (100777374443).

It is a super-3 number, since 3×100777374440³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100777374391 and 100777374400.

It is not an unprimeable number, because it can be changed into a prime (100777374443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17739656 + ... + 17745335.

It is an arithmetic number, because the mean of its divisors is an integer number (7185710880).

Almost surely, 2^100777374440 is an apocalyptic number.

100777374440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100777374440 is an abundant number, since it is smaller than the sum of its proper divisors (129165373720).

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

100777374440 is a wasteful number, since it uses less digits than its factorization.

100777374440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35485073 (or 35485069 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 44.

The spelling of 100777374440 in words is "one hundred billion, seven hundred seventy-seven million, three hundred seventy-four thousand, four hundred forty".