106975776 has 96 divisors (see below), whose sum is σ = 298045440. Its totient is φ = 33502464.

The previous prime is 106975763. The next prime is 106975789. The reversal of 106975776 is 677579601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106975763) and next prime (106975789).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106975776² = 22887633301604352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406621 + ... + 406883.

It is an arithmetic number, because the mean of its divisors is an integer number (3104640).

Almost surely, 2^106975776 is an apocalyptic number.

106975776 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 106975776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149022720).

106975776 is an abundant number, since it is smaller than the sum of its proper divisors (191069664).

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

106975776 is a wasteful number, since it uses less digits than its factorization.

106975776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The square root of 106975776 is about 10342.9094552742. The cubic root of 106975776 is about 474.7101108380.

The spelling of 106975776 in words is "one hundred six million, nine hundred seventy-five thousand, seven hundred seventy-six".