106353692928 has 1152 divisors, whose sum is σ = 406136586240. Its totient is φ = 26754416640.

The previous prime is 106353692923. The next prime is 106353692941. The reversal of 106353692928 is 829296353601.

106353692928 is a `hidden beast` number, since 1 + 0 + 63 + 536 + 9 + 29 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106353692928² (a number of 23 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 (106353692923) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1096429776 + ... + 1096429872.

It is an arithmetic number, because the mean of its divisors is an integer number (352549120).

Almost surely, 2^106353692928 is an apocalyptic number.

106353692928 is a gapful number since it is divisible by the number (18) 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 106353692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203068293120).

106353692928 is an abundant number, since it is smaller than the sum of its proper divisors (299782893312).

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

106353692928 is a wasteful number, since it uses less digits than its factorization.

106353692928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 106353692928 in words is "one hundred six billion, three hundred fifty-three million, six hundred ninety-two thousand, nine hundred twenty-eight".