106372101 has 16 divisors (see below), whose sum is σ = 155755008. Its totient is φ = 64038000.

The previous prime is 106372099. The next prime is 106372109. The reversal of 106372101 is 101273601.

It is not a de Polignac number, because 106372101 - 2¹ = 106372099 is a prime.

It is a super-2 number, since 2×106372101² = 22630047742308402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106372109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5691 + ... + 15656.

It is an arithmetic number, because the mean of its divisors is an integer number (9734688).

Almost surely, 2^106372101 is an apocalyptic number.

106372101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106372101 is a deficient number, since it is larger than the sum of its proper divisors (49382907).

106372101 is a wasteful number, since it uses less digits than its factorization.

106372101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21512.

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 106372101 is about 10313.6851319012. The cubic root of 106372101 is about 473.8154803521.

The spelling of 106372101 in words is "one hundred six million, three hundred seventy-two thousand, one hundred one".