104989737602500 has 135 divisors (see below), whose sum is σ = 232001591500371. Its totient is φ = 41559601200000.

The previous prime is 104989737602479. The next prime is 104989737602509. The reversal of 104989737602500 is 5206737989401.

The square root of 104989737602500 is 10246450.

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

It can be written as a sum of positive squares in 22 ways, for example, as 30760622843076 + 74229114759424 = 5546226^2 + 8615632^2 .

It is a super-2 number, since 2×104989737602500² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104989737602509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 51744571486 + ... + 51744573514.

It is a 1-persistent number, because it is pandigital, but 2⋅104989737602500 = 209979475205000 is not.

Almost surely, 2^{104989737602500} is an apocalyptic number.

104989737602500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104989737602500 is the 10246450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104989737602500

104989737602500 is an abundant number, since it is smaller than the sum of its proper divisors (127011853897871).

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

104989737602500 is an frugal number, since it uses more digits than its factorization.

104989737602500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4284 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 104989737602500 in words is "one hundred four trillion, nine hundred eighty-nine billion, seven hundred thirty-seven million, six hundred two thousand, five hundred".