102996000 has 144 divisors (see below), whose sum is σ = 365660568. Its totient is φ = 27456000.

The previous prime is 102995993. The next prime is 102996011. The reversal of 102996000 is 699201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33039504 + 69956496 = 5748^2 + 8364^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 34570 + ... + 37430.

Almost surely, 2^102996000 is an apocalyptic number.

102996000 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 102996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182830284).

102996000 is an abundant number, since it is smaller than the sum of its proper divisors (262664568).

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

102996000 is a wasteful number, since it uses less digits than its factorization.

102996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 102996000 is about 10148.6944973233. The cubic root of 102996000 is about 468.7487466633.

The spelling of 102996000 in words is "one hundred two million, nine hundred ninety-six thousand".