106531625236392 has 224 divisors, whose sum is σ = 319045300260480. Its totient is φ = 33216640289280.

The previous prime is 106531625236391. The next prime is 106531625236433. The reversal of 106531625236392 is 293632526135601.

It is a happy number.

106531625236392 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 1 + 625 + 2 + 3 + 6 + 3 + 9 + 2 = 666.

It is a super-2 number, since 2×106531625236392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (106531625236391) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12864417 + ... + 19456527.

Almost surely, 2^{106531625236392} is an apocalyptic number.

106531625236392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106531625236392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159522650130240).

106531625236392 is an abundant number, since it is smaller than the sum of its proper divisors (212513675024088).

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

106531625236392 is a wasteful number, since it uses less digits than its factorization.

106531625236392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592315 (or 6592296 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 106531625236392 in words is "one hundred six trillion, five hundred thirty-one billion, six hundred twenty-five million, two hundred thirty-six thousand, three hundred ninety-two".