124906900 has 72 divisors (see below), whose sum is σ = 279009920. Its totient is φ = 48522240.

The previous prime is 124906889. The next prime is 124906907. The reversal of 124906900 is 9609421.

It is a happy number.

It is a super-2 number, since 2×124906900² = 31203467335220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124906907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766219 + ... + 766381.

Almost surely, 2^124906900 is an apocalyptic number.

124906900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139504960).

124906900 is an abundant number, since it is smaller than the sum of its proper divisors (154103020).

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

124906900 is a wasteful number, since it uses less digits than its factorization.

124906900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 124906900 is about 11176.1755533814. The cubic root of 124906900 is about 499.8758358357.

The spelling of 124906900 in words is "one hundred twenty-four million, nine hundred six thousand, nine hundred".