101916672 has 224 divisors, whose sum is σ = 330281280. Its totient is φ = 27525120.

The previous prime is 101916671. The next prime is 101916697. The reversal of 101916672 is 276619101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (101916671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514354 + ... + 3514382.

It is an arithmetic number, because the mean of its divisors is an integer number (1474470).

Almost surely, 2^101916672 is an apocalyptic number.

101916672 is a gapful number since it is divisible by the number (12) 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 101916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140640).

101916672 is an abundant number, since it is smaller than the sum of its proper divisors (228364608).

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

101916672 is a wasteful number, since it uses less digits than its factorization.

101916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 101916672 is about 10095.3787447525. The cubic root of 101916672 is about 467.1056042480.

The spelling of 101916672 in words is "one hundred one million, nine hundred sixteen thousand, six hundred seventy-two".