106301504 has 84 divisors (see below), whose sum is σ = 229935024. Its totient is φ = 48722688.

The previous prime is 106301497. The next prime is 106301519. The reversal of 106301504 is 405103601.

It is a super-2 number, since 2×106301504² = 22600019505324032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993419 + ... + 993525.

Almost surely, 2^106301504 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 106301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114967512).

106301504 is an abundant number, since it is smaller than the sum of its proper divisors (123633520).

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

106301504 is a wasteful number, since it uses less digits than its factorization.

106301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106301504 is about 10310.2620723239. The cubic root of 106301504 is about 473.7106365885.

The spelling of 106301504 in words is "one hundred six million, three hundred one thousand, five hundred four".