108013500 has 288 divisors, whose sum is σ = 407027712. Its totient is φ = 24494400.

The previous prime is 108013489. The next prime is 108013511. The reversal of 108013500 is 5310801.

108013500 = 45³ + 46³ + ... + 144³.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108013489) and next prime (108013511).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 850437 + ... + 850563.

Almost surely, 2^108013500 is an apocalyptic number.

108013500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203513856).

108013500 is an abundant number, since it is smaller than the sum of its proper divisors (299014212).

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

108013500 is a wasteful number, since it uses less digits than its factorization.

108013500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 108013500 is about 10392.9543441699. The cubic root of 108013500 is about 476.2401572769.

The spelling of 108013500 in words is "one hundred eight million, thirteen thousand, five hundred".