101705101900 has 72 divisors (see below), whose sum is σ = 232385751360. Its totient is φ = 38529288000.

The previous prime is 101705101889. The next prime is 101705101903. The reversal of 101705101900 is 9101507101.

It is a super-2 number, since 2×101705101900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (101705101903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8907195 + ... + 8918605.

It is an arithmetic number, because the mean of its divisors is an integer number (3227579880).

Almost surely, 2^101705101900 is an apocalyptic number.

101705101900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101705101900 is an abundant number, since it is smaller than the sum of its proper divisors (130680649460).

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

101705101900 is a wasteful number, since it uses less digits than its factorization.

101705101900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16128 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 25.

The spelling of 101705101900 in words is "one hundred one billion, seven hundred five million, one hundred one thousand, nine hundred".