106504902 has 128 divisors (see below), whose sum is σ = 285696000. Its totient is φ = 28771200.

The previous prime is 106504843. The next prime is 106504903. The reversal of 106504902 is 209405601.

106504902 is a `hidden beast` number, since 1 + 0 + 650 + 4 + 9 + 0 + 2 = 666.

It is a super-2 number, since 2×106504902² = 22686588300059208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106504903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714724 + ... + 714872.

It is an arithmetic number, because the mean of its divisors is an integer number (2232000).

Almost surely, 2^106504902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106504902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848000).

106504902 is an abundant number, since it is smaller than the sum of its proper divisors (179191098).

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

106504902 is a wasteful number, since it uses less digits than its factorization.

106504902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106504902 is about 10320.1212202183. The cubic root of 106504902 is about 474.0125777787.

The spelling of 106504902 in words is "one hundred six million, five hundred four thousand, nine hundred two".