106076783200 has 144 divisors (see below), whose sum is σ = 262999166976. Its totient is φ = 41770713600.

The previous prime is 106076783117. The next prime is 106076783213. The reversal of 106076783200 is 2387670601.

It is a super-2 number, since 2×106076783200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63785569 + ... + 63787231.

It is an arithmetic number, because the mean of its divisors is an integer number (1826383104).

Almost surely, 2^106076783200 is an apocalyptic number.

106076783200 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 106076783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131499583488).

106076783200 is an abundant number, since it is smaller than the sum of its proper divisors (156922383776).

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

106076783200 is a wasteful number, since it uses less digits than its factorization.

106076783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 106076783200 in words is "one hundred six billion, seventy-six million, seven hundred eighty-three thousand, two hundred".