101012460 has 48 divisors (see below), whose sum is σ = 283481856. Its totient is φ = 26875072.

The previous prime is 101012449. The next prime is 101012473. The reversal of 101012460 is 64210101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28507 + ... + 31853.

It is an arithmetic number, because the mean of its divisors is an integer number (5905872).

Almost surely, 2^101012460 is an apocalyptic number.

101012460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012460 is an abundant number, since it is smaller than the sum of its proper divisors (182469396).

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

101012460 is a wasteful number, since it uses less digits than its factorization.

101012460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3862 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 101012460 is about 10050.4955101726. The cubic root of 101012460 is about 465.7201005997.

Adding to 101012460 its reverse (64210101), we get a palindrome (165222561).

It can be divided in two parts, 10101 and 2460, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 101012460 in words is "one hundred one million, twelve thousand, four hundred sixty".