96883838100 has 1152 divisors, whose sum is σ = 397414563840. Its totient is φ = 19740672000.

The previous prime is 96883838089. The next prime is 96883838111. The reversal of 96883838100 is 183838869.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (96883838089) and next prime (96883838111).

It is a super-2 number, since 2×96883838100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 707181232 + ... + 707181368.

It is an arithmetic number, because the mean of its divisors is an integer number (344977920).

Almost surely, 2^96883838100 is an apocalyptic number.

96883838100 is a gapful number since it is divisible by the number (90) 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 96883838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198707281920).

96883838100 is an abundant number, since it is smaller than the sum of its proper divisors (300530725740).

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

96883838100 is a wasteful number, since it uses less digits than its factorization.

96883838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 96883838100 in words is "ninety-six billion, eight hundred eighty-three million, eight hundred thirty-eight thousand, one hundred".