100973376 has 168 divisors, whose sum is σ = 336011520. Its totient is φ = 28394496.

The previous prime is 100973371. The next prime is 100973393. The reversal of 100973376 is 673379001.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100973376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100973371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 318370 + ... + 318686.

Almost surely, 2^100973376 is an apocalyptic number.

100973376 is a gapful number since it is divisible by the number (16) 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 100973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168005760).

100973376 is an abundant number, since it is smaller than the sum of its proper divisors (235038144).

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

100973376 is a wasteful number, since it uses less digits than its factorization.

100973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 100973376 is about 10048.5509403098. The cubic root of 100973376 is about 465.6600269793.

Subtracting 100973376 from its reverse (673379001), we obtain a square (572405625 = 23925²).

The spelling of 100973376 in words is "one hundred million, nine hundred seventy-three thousand, three hundred seventy-six".