106534556462232 has 384 divisors, whose sum is σ = 307775376820800. Its totient is φ = 34124273049600.

The previous prime is 106534556462207. The next prime is 106534556462249. The reversal of 106534556462232 is 232264655435601.

106534556462232 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 4 + 5 + 5 + 6 + 4 + 622 + 3 + 2 = 666.

It is a super-2 number, since 2×106534556462232² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57245864982 + ... + 57245866842.

Almost surely, 2^{106534556462232} is an apocalyptic number.

106534556462232 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 106534556462232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153887688410400).

106534556462232 is an abundant number, since it is smaller than the sum of its proper divisors (201240820358568).

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

106534556462232 is a wasteful number, since it uses less digits than its factorization.

106534556462232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3193 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 106534556462232 in words is "one hundred six trillion, five hundred thirty-four billion, five hundred fifty-six million, four hundred sixty-two thousand, two hundred thirty-two".