106697295936 has 672 divisors, whose sum is σ = 399501213696. Its totient is φ = 26417664000.

The previous prime is 106697295919. The next prime is 106697295949. The reversal of 106697295936 is 639592796601.

106697295936 is a `hidden beast` number, since 10 + 6 + 6 + 9 + 7 + 29 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106697295936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97618206 + ... + 97619298.

Almost surely, 2^106697295936 is an apocalyptic number.

106697295936 is a gapful number since it is divisible by the number (16) 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 106697295936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199750606848).

106697295936 is an abundant number, since it is smaller than the sum of its proper divisors (292803917760).

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

106697295936 is a wasteful number, since it uses less digits than its factorization.

106697295936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 106697295936 in words is "one hundred six billion, six hundred ninety-seven million, two hundred ninety-five thousand, nine hundred thirty-six".