106401120696 has 256 divisors, whose sum is σ = 345859584000. Its totient is φ = 30014737920.

The previous prime is 106401120673. The next prime is 106401120703. The reversal of 106401120696 is 696021104601.

106401120696 is a `hidden beast` number, since 1 + 0 + 640 + 1 + 1 + 2 + 0 + 6 + 9 + 6 = 666.

It is a super-2 number, since 2×106401120696² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

106401120696 is a modest number, since divided by 1120696 gives 1064 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 106401120696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1621746 + ... + 1686078.

It is an arithmetic number, because the mean of its divisors is an integer number (1351014000).

Almost surely, 2^106401120696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106401120696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172929792000).

106401120696 is an abundant number, since it is smaller than the sum of its proper divisors (239458463304).

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

106401120696 is a wasteful number, since it uses less digits than its factorization.

106401120696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64411 (or 64401 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 106401120696 in words is "one hundred six billion, four hundred one million, one hundred twenty thousand, six hundred ninety-six".