106279700640 has 192 divisors, whose sum is σ = 346358799360. Its totient is φ = 27365253120.

The previous prime is 106279700629. The next prime is 106279700641. The reversal of 106279700640 is 46007972601.

It is a super-2 number, since 2×106279700640² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106279700592 and 106279700601.

It is not an unprimeable number, because it can be changed into a prime (106279700641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6792346 + ... + 6807974.

It is an arithmetic number, because the mean of its divisors is an integer number (1803952080).

Almost surely, 2^106279700640 is an apocalyptic number.

106279700640 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 106279700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173179399680).

106279700640 is an abundant number, since it is smaller than the sum of its proper divisors (240079098720).

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

106279700640 is a wasteful number, since it uses less digits than its factorization.

106279700640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16127 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 106279700640 in words is "one hundred six billion, two hundred seventy-nine million, seven hundred thousand, six hundred forty".