93909104100 has 216 divisors, whose sum is σ = 337606808448. Its totient is φ = 21388147200.

The previous prime is 93909104063. The next prime is 93909104137. The reversal of 93909104100 is 140190939.

It is an interprime number because it is at equal distance from previous prime (93909104063) and next prime (93909104137).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1743777 + ... + 1796823.

Almost surely, 2^93909104100 is an apocalyptic number.

93909104100 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 93909104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168803404224).

93909104100 is an abundant number, since it is smaller than the sum of its proper divisors (243697704348).

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

93909104100 is a wasteful number, since it uses less digits than its factorization.

93909104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53355 (or 53345 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 93909104100 in words is "ninety-three billion, nine hundred nine million, one hundred four thousand, one hundred".