10100464 has 20 divisors (see below), whose sum is σ = 21349080. Its totient is φ = 4591040.

The previous prime is 10100459. The next prime is 10100471. The reversal of 10100464 is 46400101.

It is a happy number.

10100464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10100464³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28519 + ... + 28870.

It is an arithmetic number, because the mean of its divisors is an integer number (1067454).

Almost surely, 2^10100464 is an apocalyptic number.

It is an amenable number.

10100464 is an abundant number, since it is smaller than the sum of its proper divisors (11248616).

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

10100464 is a wasteful number, since it uses less digits than its factorization.

10100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57408 (or 57402 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10100464 is about 3178.1227163217. The cubic root of 10100464 is about 216.1625434050.

Adding to 10100464 its reverse (46400101), we get a palindrome (56500565).

The spelling of 10100464 in words is "ten million, one hundred thousand, four hundred sixty-four".