106193053032 has 64 divisors (see below), whose sum is σ = 289725508800. Its totient is φ = 32167703040.

The previous prime is 106193052961. The next prime is 106193053039. The reversal of 106193053032 is 230350391601.

It is a super-2 number, since 2×106193053032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 106193052984 and 106193053002.

It is not an unprimeable number, because it can be changed into a prime (106193053039) 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, 646758 + ... + 794154.

It is an arithmetic number, because the mean of its divisors is an integer number (4526961075).

Almost surely, 2^106193053032 is an apocalyptic number.

106193053032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106193053032 is an abundant number, since it is smaller than the sum of its proper divisors (183532455768).

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

106193053032 is a wasteful number, since it uses less digits than its factorization.

106193053032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150146 (or 150142 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The spelling of 106193053032 in words is "one hundred six billion, one hundred ninety-three million, fifty-three thousand, thirty-two".