106042121625 has 32 divisors (see below), whose sum is σ = 192495378816. Its totient is φ = 51414360000.

The previous prime is 106042121597. The next prime is 106042121629. The reversal of 106042121625 is 526121240601.

It is not a de Polignac number, because 106042121625 - 2⁹ = 106042121113 is a prime.

It is a super-2 number, since 2×106042121625² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106042121592 and 106042121601.

It is not an unprimeable number, because it can be changed into a prime (106042121629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12849466 + ... + 12857715.

It is an arithmetic number, because the mean of its divisors is an integer number (6015480588).

Almost surely, 2^106042121625 is an apocalyptic number.

106042121625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106042121625 is a deficient number, since it is larger than the sum of its proper divisors (86453257191).

106042121625 is a wasteful number, since it uses less digits than its factorization.

106042121625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25707210 (or 25707200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 106042121625 in words is "one hundred six billion, forty-two million, one hundred twenty-one thousand, six hundred twenty-five".