10154355828100 has 243 divisors, whose sum is σ = 24687987807973. Its totient is φ = 3622515512000.

The previous prime is 10154355828077. The next prime is 10154355828131. The reversal of 10154355828100 is 182855345101.

The square root of 10154355828100 is 3186590.

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., 3655568098116 + 6498787729984 = 1911954^2 + 2549272^2 .

It is a super-2 number, since 2×10154355828100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20680968855 + ... + 20680969345.

Almost surely, 2^{10154355828100} is an apocalyptic number.

10154355828100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10154355828100 is the 3186590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10154355828100

10154355828100 is an abundant number, since it is smaller than the sum of its proper divisors (14533631979873).

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

10154355828100 is an equidigital number, since it uses as much as digits as its factorization.

10154355828100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 43.

The spelling of 10154355828100 in words is "ten trillion, one hundred fifty-four billion, three hundred fifty-five million, eight hundred twenty-eight thousand, one hundred".