106897190400 has 2400 divisors, whose sum is σ = 536358670848. Its totient is φ = 20304691200.

The previous prime is 106897190369. The next prime is 106897190417. The reversal of 106897190400 is 4091798601.

It is a happy number.

106897190400 is a `hidden beast` number, since 10 + 6 + 89 + 71 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×106897190400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1037836749 + ... + 1037836851.

Almost surely, 2^106897190400 is an apocalyptic number.

106897190400 is a gapful number since it is divisible by the number (10) 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 106897190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268179335424).

106897190400 is an abundant number, since it is smaller than the sum of its proper divisors (429461480448).

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

106897190400 is a wasteful number, since it uses less digits than its factorization.

106897190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 106897190400 in words is "one hundred six billion, eight hundred ninety-seven million, one hundred ninety thousand, four hundred".