106892480 has 56 divisors (see below), whose sum is σ = 267949680. Its totient is φ = 40504320.

The previous prime is 106892479. The next prime is 106892491. The reversal of 106892480 is 84298601.

It is a super-2 number, since 2×106892480² = 22852004561100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2711 + ... + 14870.

Almost surely, 2^106892480 is an apocalyptic number.

106892480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106892480 is an abundant number, since it is smaller than the sum of its proper divisors (161057200).

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

106892480 is a wasteful number, since it uses less digits than its factorization.

106892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17617 (or 17607 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 106892480 is about 10338.8819511589. The cubic root of 106892480 is about 474.5868688536.

The spelling of 106892480 in words is "one hundred six million, eight hundred ninety-two thousand, four hundred eighty".