102993408 has 240 divisors, whose sum is σ = 354072576. Its totient is φ = 28200960.

The previous prime is 102993389. The next prime is 102993427. The reversal of 102993408 is 804399201.

It is an interprime number because it is at equal distance from previous prime (102993389) and next prime (102993427).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 102993408 = 220³ + 452³ = 368³ + 376³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 999885 + ... + 999987.

Almost surely, 2^102993408 is an apocalyptic number.

102993408 is a gapful number since it is divisible by the number (18) 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 102993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177036288).

102993408 is an abundant number, since it is smaller than the sum of its proper divisors (251079168).

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

102993408 is a wasteful number, since it uses less digits than its factorization.

102993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 102993408 is about 10148.5667953657. The cubic root of 102993408 is about 468.7448144493.

The spelling of 102993408 in words is "one hundred two million, nine hundred ninety-three thousand, four hundred eight".