105151435515420 has 384 divisors, whose sum is σ = 359419576320000. Its totient is φ = 22931698003200.

The previous prime is 105151435515367. The next prime is 105151435515437. The reversal of 105151435515420 is 24515534151501.

It is a super-2 number, since 2×105151435515420² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44135881 + ... + 46457279.

It is an arithmetic number, because the mean of its divisors is an integer number (935988480000).

Almost surely, 2^{105151435515420} is an apocalyptic number.

105151435515420 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 105151435515420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179709788160000).

105151435515420 is an abundant number, since it is smaller than the sum of its proper divisors (254268140804580).

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

105151435515420 is a wasteful number, since it uses less digits than its factorization.

105151435515420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321534 (or 2321518 counting only the distinct ones).

The product of its (nonzero) digits is 300000, while the sum is 42.

Adding to 105151435515420 its reverse (24515534151501), we get a palindrome (129666969666921).

The spelling of 105151435515420 in words is "one hundred five trillion, one hundred fifty-one billion, four hundred thirty-five million, five hundred fifteen thousand, four hundred twenty".