106135776 has 72 divisors (see below), whose sum is σ = 308284704. Its totient is φ = 34621440.

The previous prime is 106135763. The next prime is 106135781. The reversal of 106135776 is 677531601.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106135776² = 22529605894244352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106135776.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9616 + ... + 17456.

It is an arithmetic number, because the mean of its divisors is an integer number (4281732).

Almost surely, 2^106135776 is an apocalyptic number.

106135776 is a gapful number since it is divisible by the number (16) 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 106135776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154142352).

106135776 is an abundant number, since it is smaller than the sum of its proper divisors (202148928).

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

106135776 is a wasteful number, since it uses less digits than its factorization.

106135776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 106135776 is about 10302.2218962707. The cubic root of 106135776 is about 473.4643310415.

The spelling of 106135776 in words is "one hundred six million, one hundred thirty-five thousand, seven hundred seventy-six".