106388601 has 32 divisors (see below), whose sum is σ = 166219776. Its totient is φ = 59808000.

The previous prime is 106388587. The next prime is 106388627. The reversal of 106388601 is 106883601.

It is not a de Polignac number, because 106388601 - 2⁶ = 106388537 is a prime.

It is a super-2 number, since 2×106388601² = 22637068845474402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (106388651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38496 + ... + 41166.

It is an arithmetic number, because the mean of its divisors is an integer number (5194368).

Almost surely, 2^106388601 is an apocalyptic number.

106388601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106388601 is a deficient number, since it is larger than the sum of its proper divisors (59831175).

106388601 is a wasteful number, since it uses less digits than its factorization.

106388601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106388601 is about 10314.4850089571. The cubic root of 106388601 is about 473.8399778508.

The spelling of 106388601 in words is "one hundred six million, three hundred eighty-eight thousand, six hundred one".