106196630400 has 1152 divisors, whose sum is σ = 464859532800. Its totient is φ = 22554132480.

The previous prime is 106196630381. The next prime is 106196630401. The reversal of 106196630400 is 4036691601.

106196630400 is a `hidden beast` number, since 1 + 0 + 6 + 19 + 6 + 630 + 4 + 0 + 0 = 666.

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

It is a super-2 number, since 2×106196630400² (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106196630401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171561291 + ... + 171561909.

It is an arithmetic number, because the mean of its divisors is an integer number (403523900).

Almost surely, 2^106196630400 is an apocalyptic number.

106196630400 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 106196630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232429766400).

106196630400 is an abundant number, since it is smaller than the sum of its proper divisors (358662902400).

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

106196630400 is a wasteful number, since it uses less digits than its factorization.

106196630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 106196630400 in words is "one hundred six billion, one hundred ninety-six million, six hundred thirty thousand, four hundred".