106231043952 has 360 divisors, whose sum is σ = 343886896080. Its totient is φ = 30549657600.

The previous prime is 106231043927. The next prime is 106231044043. The reversal of 106231043952 is 259340132601.

106231043952 is a `hidden beast` number, since 10 + 623 + 10 + 4 + 3 + 9 + 5 + 2 = 666.

It is a super-2 number, since 2×106231043952² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26430199 + ... + 26434217.

It is an arithmetic number, because the mean of its divisors is an integer number (955241378).

Almost surely, 2^106231043952 is an apocalyptic number.

106231043952 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 106231043952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171943448040).

106231043952 is an abundant number, since it is smaller than the sum of its proper divisors (237655852128).

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

106231043952 is a wasteful number, since it uses less digits than its factorization.

106231043952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4133 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 106231043952 in words is "one hundred six billion, two hundred thirty-one million, forty-three thousand, nine hundred fifty-two".