101460912 has 160 divisors (see below), whose sum is σ = 329502720. Its totient is φ = 26231040.

The previous prime is 101460911. The next prime is 101460971. The reversal of 101460912 is 219064101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101460911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146487 + ... + 147177.

It is an arithmetic number, because the mean of its divisors is an integer number (2059392).

Almost surely, 2^101460912 is an apocalyptic number.

101460912 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 101460912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164751360).

101460912 is an abundant number, since it is smaller than the sum of its proper divisors (228041808).

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

101460912 is a wasteful number, since it uses less digits than its factorization.

101460912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 101460912 is about 10072.7807481350. The cubic root of 101460912 is about 466.4082823608.

The spelling of 101460912 in words is "one hundred one million, four hundred sixty thousand, nine hundred twelve".