10101606405 has 128 divisors (see below), whose sum is σ = 19087349760. Its totient is φ = 4510080000.

The previous prime is 10101606377. The next prime is 10101606407. The reversal of 10101606405 is 50460610101.

It is not a de Polignac number, because 10101606405 - 2⁵ = 10101606373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101606407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19314474 + ... + 19314996.

It is an arithmetic number, because the mean of its divisors is an integer number (149119920).

Almost surely, 2^10101606405 is an apocalyptic number.

10101606405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10101606405 is a deficient number, since it is larger than the sum of its proper divisors (8985743355).

10101606405 is a wasteful number, since it uses less digits than its factorization.

10101606405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723.

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 10101606405 in words is "ten billion, one hundred one million, six hundred six thousand, four hundred five".