101106452460 has 96 divisors (see below), whose sum is σ = 322808697792. Its totient is φ = 23423754240.

The previous prime is 101106452449. The next prime is 101106452509. The reversal of 101106452460 is 64254601101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3799201 + ... + 3825720.

It is an arithmetic number, because the mean of its divisors is an integer number (3362590602).

Almost surely, 2^101106452460 is an apocalyptic number.

101106452460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101106452460 is an abundant number, since it is smaller than the sum of its proper divisors (221702245332).

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

101106452460 is a wasteful number, since it uses less digits than its factorization.

101106452460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624963 (or 7624961 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 101106452460 in words is "one hundred one billion, one hundred six million, four hundred fifty-two thousand, four hundred sixty".