100057460003140 has 48 divisors (see below), whose sum is σ = 213335235187200. Its totient is φ = 39411124549632.

The previous prime is 100057460003107. The next prime is 100057460003147. The reversal of 100057460003140 is 41300064750001.

It is a super-2 number, since 2×100057460003140² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100057460003147) 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, 10087645 + ... + 17374564.

It is an arithmetic number, because the mean of its divisors is an integer number (4444484066400).

Almost surely, 2^{100057460003140} is an apocalyptic number.

100057460003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100057460003140 is an abundant number, since it is smaller than the sum of its proper divisors (113277775184060).

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

100057460003140 is a wasteful number, since it uses less digits than its factorization.

100057460003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27465004 (or 27465002 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 100057460003140 in words is "one hundred trillion, fifty-seven billion, four hundred sixty million, three thousand, one hundred forty".