106745904 has 80 divisors (see below), whose sum is σ = 309504000. Its totient is φ = 35221824.

The previous prime is 106745867. The next prime is 106745911. The reversal of 106745904 is 409547601.

106745904 is a `hidden beast` number, since 1 + 0 + 67 + 4 + 590 + 4 = 666.

It is a super-2 number, since 2×106745904² = 22789376041554432, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43297 + ... + 45695.

It is an arithmetic number, because the mean of its divisors is an integer number (3868800).

Almost surely, 2^106745904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106745904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752000).

106745904 is an abundant number, since it is smaller than the sum of its proper divisors (202758096).

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

106745904 is a wasteful number, since it uses less digits than its factorization.

106745904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2519 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106745904 is about 10331.7909386514. The cubic root of 106745904 is about 474.3698443408.

It can be divided in two parts, 1067 and 45904, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 106745904 in words is "one hundred six million, seven hundred forty-five thousand, nine hundred four".