106908271523232 has 96 divisors (see below), whose sum is σ = 281485473696000. Its totient is φ = 35528028115968.

The previous prime is 106908271523189. The next prime is 106908271523237. The reversal of 106908271523232 is 232325172809601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106908271523232² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106908271523237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201999369 + ... + 202527927.

It is an arithmetic number, because the mean of its divisors is an integer number (2932140351000).

Almost surely, 2^{106908271523232} is an apocalyptic number.

106908271523232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106908271523232 is an abundant number, since it is smaller than the sum of its proper divisors (174577202172768).

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

106908271523232 is a wasteful number, since it uses less digits than its factorization.

106908271523232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534958 (or 534950 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 106908271523232 in words is "one hundred six trillion, nine hundred eight billion, two hundred seventy-one million, five hundred twenty-three thousand, two hundred thirty-two".