101496672 has 96 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 33381504.

The previous prime is 101496671. The next prime is 101496679. The reversal of 101496672 is 276694101.

101496672 is a `hidden beast` number, since 101 + 496 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101496671) 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, 67513 + ... + 68999.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^101496672 is an apocalyptic number.

101496672 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 101496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

101496672 is an abundant number, since it is smaller than the sum of its proper divisors (198484128).

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

101496672 is a wasteful number, since it uses less digits than its factorization.

101496672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1571 counting only the distinct ones).

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

The square root of 101496672 is about 10074.5556725843. Note that the first 3 decimals coincide. The cubic root of 101496672 is about 466.4630712799.

The spelling of 101496672 in words is "one hundred one million, four hundred ninety-six thousand, six hundred seventy-two".