106921431825 has 96 divisors (see below), whose sum is σ = 197279456640. Its totient is φ = 50735462400.

The previous prime is 106921431823. The next prime is 106921431833. The reversal of 106921431825 is 528134129601.

It is not a de Polignac number, because 106921431825 - 2¹ = 106921431823 is a prime.

It is a super-2 number, since 2×106921431825² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106921431823) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18177885 + ... + 18183765.

It is an arithmetic number, because the mean of its divisors is an integer number (2054994340).

Almost surely, 2^106921431825 is an apocalyptic number.

106921431825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106921431825 is a deficient number, since it is larger than the sum of its proper divisors (90358024815).

106921431825 is a wasteful number, since it uses less digits than its factorization.

106921431825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6579 (or 6574 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 106921431825 in words is "one hundred six billion, nine hundred twenty-one million, four hundred thirty-one thousand, eight hundred twenty-five".