106296100 has 27 divisors (see below), whose sum is σ = 230886481. Its totient is φ = 42477200.

The previous prime is 106296097. The next prime is 106296109. The reversal of 106296100 is 1692601.

The square root of 106296100 is 10310.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38266596 + 68029504 = 6186^2 + 8248^2 .

It is a super-2 number, since 2×106296100² = 22597721750420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106296109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102585 + ... + 103615.

Almost surely, 2^106296100 is an apocalyptic number.

106296100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106296100 is the 10310-th square number.

It is an amenable number.

106296100 is an abundant number, since it is smaller than the sum of its proper divisors (124590381).

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

106296100 is an equidigital number, since it uses as much as digits as its factorization.

106296100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The cubic root of 106296100 is about 473.7026091836.

Multiplying 106296100 by its sum of digits (25), we get a square (2657402500 = 51550²).

106296100 divided by its sum of digits (25) gives a square (4251844 = 2062²).

Multiplying 106296100 by its reverse (1692601), we get a square (179916885156100 = 13413310²).

The spelling of 106296100 in words is "one hundred six million, two hundred ninety-six thousand, one hundred".