106719795 has 192 divisors, whose sum is σ = 255104640. Its totient is φ = 41803776.

The previous prime is 106719787. The next prime is 106719817. The reversal of 106719795 is 597917601.

It is not a de Polignac number, because 106719795 - 2³ = 106719787 is a prime.

It is a super-2 number, since 2×106719795² = 22778229289684050, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106719795.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1461879 + ... + 1461951.

It is an arithmetic number, because the mean of its divisors is an integer number (1328670).

Almost surely, 2^106719795 is an apocalyptic number.

106719795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106719795 is an abundant number, since it is smaller than the sum of its proper divisors (148384845).

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

106719795 is a wasteful number, since it uses less digits than its factorization.

106719795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 106719795 is about 10330.5273340716. The cubic root of 106719795 is about 474.3311657852.

The spelling of 106719795 in words is "one hundred six million, seven hundred nineteen thousand, seven hundred ninety-five".