93865288328100 has 405 divisors, whose sum is σ = 306222736412593. Its totient is φ = 24974240747040.

The previous prime is 93865288328069. The next prime is 93865288328137. The reversal of 93865288328100 is 182388256839.

The square root of 93865288328100 is 9688410.

It is a perfect power (a square), and thus also a powerful number.

93865288328100 is a `hidden beast` number, since 9 + 3 + 8 + 6 + 528 + 83 + 28 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33791503798116 + 60073784529984 = 5813046^2 + 7750728^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×93865288328100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 211885526479 + ... + 211885526921.

Almost surely, 2^{93865288328100} is an apocalyptic number.

93865288328100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

93865288328100 is the 9688410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93865288328100

93865288328100 is an abundant number, since it is smaller than the sum of its proper divisors (212357448084493).

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

93865288328100 is an frugal number, since it uses more digits than its factorization.

93865288328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 93865288328100 in words is "ninety-three trillion, eight hundred sixty-five billion, two hundred eighty-eight million, three hundred twenty-eight thousand, one hundred".