103769890869120 has 768 divisors, whose sum is σ = 393170363942400. Its totient is φ = 23206058803200.

The previous prime is 103769890869109. The next prime is 103769890869131. The reversal of 103769890869120 is 21968098967301.

It is an interprime number because it is at equal distance from previous prime (103769890869109) and next prime (103769890869131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 874978786 + ... + 875097374.

It is an arithmetic number, because the mean of its divisors is an integer number (511940578050).

Almost surely, 2^{103769890869120} is an apocalyptic number.

103769890869120 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 103769890869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196585181971200).

103769890869120 is an abundant number, since it is smaller than the sum of its proper divisors (289400473073280).

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

103769890869120 is a wasteful number, since it uses less digits than its factorization.

103769890869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118827 (or 118808 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 69.

The spelling of 103769890869120 in words is "one hundred three trillion, seven hundred sixty-nine billion, eight hundred ninety million, eight hundred sixty-nine thousand, one hundred twenty".