101540431146 has 128 divisors (see below), whose sum is σ = 268504657920. Its totient is φ = 24783897600.

The previous prime is 101540431067. The next prime is 101540431147. The reversal of 101540431146 is 641134045101.

It is not an unprimeable number, because it can be changed into a prime (101540431147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5181715 + ... + 5201273.

It is an arithmetic number, because the mean of its divisors is an integer number (2097692640).

Almost surely, 2^101540431146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101540431146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134252328960).

101540431146 is an abundant number, since it is smaller than the sum of its proper divisors (166964226774).

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

101540431146 is a wasteful number, since it uses less digits than its factorization.

101540431146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20260.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 101540431146 its reverse (641134045101), we get a palindrome (742674476247).

The spelling of 101540431146 in words is "one hundred one billion, five hundred forty million, four hundred thirty-one thousand, one hundred forty-six".