103000515150400 has 252 divisors, whose sum is σ = 294844031113908. Its totient is φ = 35312125685760.

The previous prime is 103000515150391. The next prime is 103000515150493. The reversal of 103000515150400 is 4051515000301.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9781181190144 + 93219333960256 = 3127488^2 + 9655016^2 .

It is a super-2 number, since 2×103000515150400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1526963074 + ... + 1527030526.

Almost surely, 2^{103000515150400} is an apocalyptic number.

103000515150400 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 103000515150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147422015556954).

103000515150400 is an abundant number, since it is smaller than the sum of its proper divisors (191843515963508).

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

103000515150400 is a wasteful number, since it uses less digits than its factorization.

103000515150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86966 (or 86944 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 103000515150400 in words is "one hundred three trillion, five hundred fifteen million, one hundred fifty thousand, four hundred".