106735392 has 36 divisors (see below), whose sum is σ = 303529590. Its totient is φ = 35578368.

The previous prime is 106735381. The next prime is 106735411. The reversal of 106735392 is 293537601.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 35569296 = 8436^2 + 5964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106735392² = 22784887810787328, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 185017 + ... + 185592.

Almost surely, 2^106735392 is an apocalyptic number.

106735392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106735392 is an abundant number, since it is smaller than the sum of its proper divisors (196794198).

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

106735392 is a wasteful number, since it uses less digits than its factorization.

106735392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370625 (or 370614 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 106735392 is about 10331.2822050315. The cubic root of 106735392 is about 474.3542723476.

The spelling of 106735392 in words is "one hundred six million, seven hundred thirty-five thousand, three hundred ninety-two".