101973830400 has 1296 divisors, whose sum is σ = 425124790272. Its totient is φ = 23113728000.

The previous prime is 101973830393. The next prime is 101973830401. The reversal of 101973830400 is 4038379101.

It is a happy number.

101973830400 is a `hidden beast` number, since 1 + 0 + 197 + 38 + 30 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101973830401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 533894305 + ... + 533894495.

Almost surely, 2^101973830400 is an apocalyptic number.

101973830400 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 101973830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212562395136).

101973830400 is an abundant number, since it is smaller than the sum of its proper divisors (323150959872).

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

101973830400 is a wasteful number, since it uses less digits than its factorization.

101973830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 101973830400 in words is "one hundred one billion, nine hundred seventy-three million, eight hundred thirty thousand, four hundred".