100034434671540 has 48 divisors (see below), whose sum is σ = 280098629498688. Its totient is φ = 26675638539264.

The previous prime is 100034434671533. The next prime is 100034434671551. The reversal of 100034434671540 is 45176434430001.

It is a junction number, because it is equal to n+sod(n) for n = 100034434671492 and 100034434671501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149924 + ... + 14191236.

It is an arithmetic number, because the mean of its divisors is an integer number (5835388114556).

Almost surely, 2^{100034434671540} is an apocalyptic number.

100034434671540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100034434671540 is an abundant number, since it is smaller than the sum of its proper divisors (180064194827148).

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

100034434671540 is a wasteful number, since it uses less digits than its factorization.

100034434671540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13169168 (or 13169166 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 100034434671540 in words is "one hundred trillion, thirty-four billion, four hundred thirty-four million, six hundred seventy-one thousand, five hundred forty".