106631910 has 256 divisors, whose sum is σ = 371589120. Its totient is φ = 21098880.

The previous prime is 106631897. The next prime is 106631951. The reversal of 106631910 is 19136601.

106631910 is a `hidden beast` number, since 10 + 6 + 631 + 9 + 10 = 666.

It is a super-2 number, since 2×106631910² = 22740728460496200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478059 + ... + 478281.

It is an arithmetic number, because the mean of its divisors is an integer number (1451520).

Almost surely, 2^106631910 is an apocalyptic number.

106631910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106631910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

106631910 is an abundant number, since it is smaller than the sum of its proper divisors (264957210).

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

106631910 is a wasteful number, since it uses less digits than its factorization.

106631910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106631910 is about 10326.2728029043. The cubic root of 106631910 is about 474.2009242716.

The spelling of 106631910 in words is "one hundred six million, six hundred thirty-one thousand, nine hundred ten".