103126464 has 84 divisors (see below), whose sum is σ = 337834224. Its totient is φ = 29463552.

The previous prime is 103126459. The next prime is 103126469. The reversal of 103126464 is 464621301.

103126464 is a `hidden beast` number, since 1 + 0 + 3 + 12 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (103126459) and next prime (103126469).

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103126469) 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 11 ways as a sum of consecutive naturals, for example, 8757 + ... + 16820.

It is an arithmetic number, because the mean of its divisors is an integer number (4021836).

Almost surely, 2^103126464 is an apocalyptic number.

103126464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103126464 is an abundant number, since it is smaller than the sum of its proper divisors (234707760).

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

103126464 is a wasteful number, since it uses less digits than its factorization.

103126464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25602 (or 25589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 103126464 is about 10155.1200879162. The cubic root of 103126464 is about 468.9465829328.

Adding to 103126464 its reverse (464621301), we get a palindrome (567747765).

It can be divided in two parts, 1031 and 26464, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 103126464 in words is "one hundred three million, one hundred twenty-six thousand, four hundred sixty-four".