155953908100 has 243 divisors, whose sum is σ = 379565683021. Its totient is φ = 55603328000.

The previous prime is 155953908073. The next prime is 155953908109. The reversal of 155953908100 is 1809359551.

The square root of 155953908100 is 394910.

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

It can be written as a sum of positive squares in 13 ways, for example, as 326814084 + 155627094016 = 18078^2 + 394496^2 .

It is a super-2 number, since 2×155953908100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155953908109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1544098050 + ... + 1544098150.

Almost surely, 2^155953908100 is an apocalyptic number.

155953908100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

155953908100 is the 394910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155953908100

155953908100 is an abundant number, since it is smaller than the sum of its proper divisors (223611774921).

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

155953908100 is a wasteful number, since it uses less digits than its factorization.

155953908100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 46.

The spelling of 155953908100 in words is "one hundred fifty-five billion, nine hundred fifty-three million, nine hundred eight thousand, one hundred".