102996576 has 192 divisors, whose sum is σ = 322237440. Its totient is φ = 31933440.

The previous prime is 102996571. The next prime is 102996581. The reversal of 102996576 is 675699201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102996571) and next prime (102996581).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102996571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410876 + ... + 1410948.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2^102996576 is an apocalyptic number.

102996576 is a gapful number since it is divisible by the number (16) 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 102996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161118720).

102996576 is an abundant number, since it is smaller than the sum of its proper divisors (219240864).

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

102996576 is a wasteful number, since it uses less digits than its factorization.

102996576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 102996576 is about 10148.7228753179. The cubic root of 102996576 is about 468.7496204797.

The spelling of 102996576 in words is "one hundred two million, nine hundred ninety-six thousand, five hundred seventy-six".