10173242100 has 324 divisors, whose sum is σ = 35256139296. Its totient is φ = 2218608000.

The previous prime is 10173242089. The next prime is 10173242111. The reversal of 10173242100 is 124237101.

It is an interprime number because it is at equal distance from previous prime (10173242089) and next prime (10173242111).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 143285065 + ... + 143285135.

Almost surely, 2^10173242100 is an apocalyptic number.

10173242100 is a gapful number since it is divisible by the number (10) 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 10173242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17628069648).

10173242100 is an abundant number, since it is smaller than the sum of its proper divisors (25082897196).

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

10173242100 is a wasteful number, since it uses less digits than its factorization.

10173242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Multiplying 10173242100 by its sum of digits (21), we get a square (213638084100 = 462210²).

10173242100 divided by its sum of digits (21) gives a square (484440100 = 22010²).

Multiplying 10173242100 by its product of nonzero digits (336), we get a square (3418209345600 = 1848840²).

Adding to 10173242100 its reverse (124237101), we get a palindrome (10297479201).

The spelling of 10173242100 in words is "ten billion, one hundred seventy-three million, two hundred forty-two thousand, one hundred".