106461124 has 81 divisors (see below), whose sum is σ = 241826319. Its totient is φ = 40859280.

The previous prime is 106461119. The next prime is 106461127. The reversal of 106461124 is 421164601.

The square root of 106461124 is 10318.

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

It is a super-2 number, since 2×106461124² = 22667941846686752, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106461127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1588939 + ... + 1589005.

Almost surely, 2^106461124 is an apocalyptic number.

106461124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

106461124 is the 10318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106461124

106461124 is an abundant number, since it is smaller than the sum of its proper divisors (135365195).

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

106461124 is a wasteful number, since it uses less digits than its factorization.

106461124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The cubic root of 106461124 is about 473.9476225009.

Multiplying 106461124 by its sum of digits (25), we get a square (2661528100 = 51590²).

The spelling of 106461124 in words is "one hundred six million, four hundred sixty-one thousand, one hundred twenty-four".