101450664 has 128 divisors (see below), whose sum is σ = 324576000. Its totient is φ = 28760832.

The previous prime is 101450641. The next prime is 101450743. The reversal of 101450664 is 466054101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346102 + ... + 346394.

It is an arithmetic number, because the mean of its divisors is an integer number (2535750).

Almost surely, 2^101450664 is an apocalyptic number.

101450664 is a gapful number since it is divisible by the number (14) 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 101450664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162288000).

101450664 is an abundant number, since it is smaller than the sum of its proper divisors (223125336).

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

101450664 is a wasteful number, since it uses less digits than its factorization.

101450664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 101450664 is about 10072.2720376288. The cubic root of 101450664 is about 466.3925787336.

The spelling of 101450664 in words is "one hundred one million, four hundred fifty thousand, six hundred sixty-four".