105152464 has 10 divisors (see below), whose sum is σ = 203732930. Its totient is φ = 52576224.

The previous prime is 105152459. The next prime is 105152507. The reversal of 105152464 is 464251501.

It can be written as a sum of positive squares in only one way, i.e., 90098064 + 15054400 = 9492^2 + 3880^2 .

It is a super-2 number, since 2×105152464² = 22114081370542592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3285999 + ... + 3286030.

It is an arithmetic number, because the mean of its divisors is an integer number (20373293).

Almost surely, 2^105152464 is an apocalyptic number.

It is an amenable number.

105152464 is a deficient number, since it is larger than the sum of its proper divisors (98580466).

105152464 is an equidigital number, since it uses as much as digits as its factorization.

105152464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6572037 (or 6572031 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 105152464 is about 10254.3875487520. The cubic root of 105152464 is about 471.9976299795.

The spelling of 105152464 in words is "one hundred five million, one hundred fifty-two thousand, four hundred sixty-four".