103978077840 has 1920 divisors, whose sum is σ = 496438225920. Its totient is φ = 19396952064.

The previous prime is 103978077821. The next prime is 103978077851. The reversal of 103978077840 is 48770879301.

It is a super-2 number, since 2×103978077840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2810218302 + ... + 2810218338.

It is an arithmetic number, because the mean of its divisors is an integer number (258561576).

Almost surely, 2^103978077840 is an apocalyptic number.

103978077840 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 103978077840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248219112960).

103978077840 is an abundant number, since it is smaller than the sum of its proper divisors (392460148080).

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

103978077840 is a wasteful number, since it uses less digits than its factorization.

103978077840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 103978077840 in words is "one hundred three billion, nine hundred seventy-eight million, seventy-seven thousand, eight hundred forty".