99973104 has 120 divisors (see below), whose sum is σ = 324562560. Its totient is φ = 25956480.

The previous prime is 99973099. The next prime is 99973123. The reversal of 99973104 is 40137999.

99973104 = T₁₅₂ + T₁₅₃ + ... + T₈₄₄.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 39427 + ... + 41885.

It is an arithmetic number, because the mean of its divisors is an integer number (2704688).

Almost surely, 2^99973104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99973104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162281280).

99973104 is an abundant number, since it is smaller than the sum of its proper divisors (224589456).

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

99973104 is a wasteful number, since it uses less digits than its factorization.

99973104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 99973104 is about 9998.6551095635. The cubic root of 99973104 is about 464.1172662389.

The spelling of 99973104 in words is "ninety-nine million, nine hundred seventy-three thousand, one hundred four".