103253550400 has 672 divisors, whose sum is σ = 356085209088. Its totient is φ = 28405555200.

The previous prime is 103253550373. The next prime is 103253550427. The reversal of 103253550400 is 4055352301.

It is an interprime number because it is at equal distance from previous prime (103253550373) and next prime (103253550427).

It is a super-2 number, since 2×103253550400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36835399 + ... + 36838201.

It is an arithmetic number, because the mean of its divisors is an integer number (529888704).

Almost surely, 2^103253550400 is an apocalyptic number.

103253550400 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 103253550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178042604544).

103253550400 is an abundant number, since it is smaller than the sum of its proper divisors (252831658688).

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

103253550400 is a wasteful number, since it uses less digits than its factorization.

103253550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 28.

The spelling of 103253550400 in words is "one hundred three billion, two hundred fifty-three million, five hundred fifty thousand, four hundred".